using the graph, determine the coordinates of the roots of the parabola​

The number of students in the class is 9200.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The percent of students pursuing economics is 29%.

And, the number of students pursuing economics is 2688.

Suppose the total number of students are x.

Then, the following equation can be written for the given case,

29% of x = 2668

=> 29/100 × x = 2668

=> x = 2668 × 100/29

       = 9200

Hence, the total number of students in the freshman class is 9200.

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Step-by-step explanation:

fair coin is two sided Head H and Tail T

thrown 3 times

number of sample space n(s)=2³=>8

sample space (s)={HHH,HHT,HTH,HTT,THH,TTH,THT,TTT}

no of a head and two tails= 3/8

Answer:

100

Step-by-step explanation:

To double values larger than those in the ones place position, double the non-zero digit, then follow that calculated value with the same number of zeroes. Example: You will need to double 400, 50, and 3 separately. Since the double of 4 is 8, the double of 400 is 800. Since the double of 5 is 10, the double of 50 is 100.

The estimated probability of a success in this scenario would be 0.6, or 60%.

To estimate the probability of success in this scenario, we need to determine the frequency of success (occurrence of numbers 1, 2, and 3) in the randomly generated list of integers from 0 to 4.

Let's assume we have a large sample of these randomly generated lists, and we record the number of successes in each list. The estimated probability of success can be calculated by dividing the total number of successes by the total number of trials (lists).

For example, if we have observed 5000 lists and found that the number of successes (1, 2, or 3) occurred in 3000 of those lists, the estimated probability of success would be:

Estimated probability of success = Number of successes / Total number of trials

Estimated probability of success = 3000 / 5000

Estimated probability of success = 0.6

Therefore, the estimated probability of a success in this scenario would be 0.6, or 60%.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4570\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=4570\left(1+\frac{0.045}{1}\right)^{1\cdot 5}\implies A=4570(1.045)^5\implies A\approx 5695.05\)

Answer:

The correct answer is D.

Step-by-step explanation:

$5695.05

Answer:

(x-2)^2 +  (y+1)^2 = 3

Step-by-step explanation:

That is the standard equation for a circle given h,k center and r

Answer:

My answer would be Frothy-five thousand and one hundred (45,100).

Step-by-step explanation:

Approximately 0.11 percent of all samples have mean heights of at least 64.76 inches.

Given: 50 years prior, the mean level of ladies in a specific country in their 20s was 62.9 inches. With a standard deviation of 2.87 inches, women in their 20s today have heights that are roughly typical. We must determine the proportion of all 21 samples that have mean heights of at least 64.76 inches among today's women in their 20s. Bit by bit clarification:

Let μ be the mean level of ladies in this day and age and allow n to be the example size. We can find the likelihood of an example mean being more prominent than or equivalent to 64.76 inches utilizing the z-score recipe, as follows: z = (x - μ)/(σ/√n) = (64.76 - 62.9)/(2.87/√21) = 3.06The likelihood that an example of 21 ladies will have a mean level more noteworthy than or equivalent to 64.76 inches is equivalent to the likelihood that a typical irregular variable Z is more noteworthy than or equivalent to 3.06.

This probability is approximately 0.0011, or 0.11 percent, according to a typical normal table or calculator. This means that approximately 0.11 percent of all samples have mean heights of at least 64.76 inches.

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To find the circumference we have to calculate

where r=6

therefore we have that the answer is

Answer:

303.8 miles.

Step-by-step explanation:

Using the given information, draw a figure as shown below.

90 mph for 3 hours = 270 miles

100 mph of 1 hour = 100 miles

In triangle ABC,

\(\angle ABC=50^{\circ}+50^{\circ}=100^{\circ}\)

Using cosine formula,

\(AC^2=AB^2+BC^2-2(AB)(BC)\cos B\)

\(AC^2=(270)^2+(100)^2-2(270)(100)\cos (100^{\circ})\)

\(AC^2=72900+10000-54000\cdot\left(-0.174\right)\)

\(AC^2=92296\)

Taking square root on both sides.

\(AC=\sqrt{92296}\)

\(AC\approx 303.8\)

Therefore,  the plane is 303.8 miles from its starting point.

Answer:

271 miles

Step-by-step explanation:

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

Since the slope of the line segment AB is 3/4, we know that its rise is 3, and its run is 4.

So, the coordinates of points A and B could be A(0,0) and B(4,3).

On the other hand, the rule for a rotation by 180° about the origin is:

Then we can apply the above rule and calculate the coordinates of line segment A'B'.

Finally, let us find the slope of the line segment A'B'.

As we can see, the slope of the line segment A'B' is also 3/4.

Supports Jessie's claim

according to the function given , the value of \(\( g(f(2)) \)\) is -2.

To evaluate\(\( g(f(2)) \),\) we need to substitue ,\(\( x = 2 \) into the function \( f(x) \) and then substitute the result into the function \( g(x) \).\)

\(\( f(2) \):\\\( f(x) = \frac{2x}{x-4} \)\\Substituting \( x = 2 \):\\\( f(2) = \frac{2(2)}{2-4} \\=\\\frac{4}{-2} = -2 \)\\Now, we have \( f(2) = -2 \)\\let's evaluate \( g(f(2)) \):\\\( g(x) = x^2 + 3x \)\)

First, let's evaluate,

\(\( f(2) = -2 \) into \( g(x) \):\\\( g(f(2)) = g(-2) = (-2)^2 + 3(-2) \\ = 4 - 6 \\ = -2 \)\)

Therefore, the value of \(\( g(f(2)) \)\) is -2.

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If "cow" means that number is correct in value but in the wrong position, then the three-digit secret number is 714.

A "cow" means a digit is "correct in value" but in the "wrong position".

A "bull" means a digit is both "correct in value" and in the "correct position".

⇒ For the first guess (751),

There is 1 cow and 1 bull, which means that one digit is "correct in value" and in the "correct position" (1 bull), and another digit is "correct in value" but in the "wrong position" (1 cow).

⇒ For the second-guess (574),

There is 1 cow and 1 bull, which indicates that "one-digit" is "correct in value" and in the "correct position", and "another-digit" is "correct in value" but in the "wrong-position".

⇒ For the third guess (317),

There is 1 cow and 1 bull, which means that "one digit" is "correct in value" and in the "correct position", and "another digit" is "correct in value" but in the "wrong position".

So, Based on these clues, we can say that the correct secret number has 1 cow and 1 bull.

This means that two digits in the secret number are correct in value, with one digit in the correct position (1 bull), and another digit in the wrong position (1 cow). So, the secret number is likely 714, because it satisfies these conditions.

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The given question is incomplete, the complete question is

Deduce the 3-digit secret number.

[A cow means a number is correct in value but in the wrong position. A bull indicates that a number is both correct in value and in the correct position. i.e. 2 cows and 1 bull would indicate that all three numbers were correct but two were in the wrong positions. ]

Guess     Secret Number   Cows    Bulls

 1st                   751                  1            1

 2nd                 574                 1            1

 3rd                  317                  1            1

The equation of line in slope-intercept form is,

Here, m is slope of line and c is y-intercept.

Simplify the equation to obtain the slope-intercept form.

(a) The probability that exactly two out of six people have blood type A+ is approximately 0.3516. (b) The probability that at most two out of six people have blood type A+ is approximately 0.8203.

(a) To find the probability that exactly two out of six people have blood type A+, we use the binomial probability formula.

The formula is given by

P(X = k) = (n C k) * p^k * (1 - p)^(n - k),

where n is the number of trials (6),

k is the number of successful events (2),

p is the probability of success (1/4).

Plugging in these values, we have

P(X = 2) = (6 C 2) * (1/4)^2 * (3/4)^4.

Evaluating this expression, we find that the probability is approximately 0.3516.

(b) To find the probability that at most two out of six people have blood type A+, we sum the probabilities of having 0, 1, or 2 people with blood type A+.

This can be expressed as

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2).

Using the binomial probability formula, we calculate each term individually and sum them up.

P(X = 0) = (6 C 0) * (1/4)^0 * (3/4)^6, P(X = 1) = (6 C 1) * (1/4)^1 * (3/4)^5, and P(X = 2) = (6 C 2) * (1/4)^2 * (3/4)^4.

Adding these probabilities together, we find that the probability is approximately 0.8203.

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Answer: 3 boxes every 4 minutes, and 0.75 boxed every minute. And  0.75 boxes are filled per minute.

Step-by-step explanation: Hope This Helps!

Answer:

actually its A... i know cause i got it WRONG

Step-by-step explanation:

The gross profit margin for Korey’s Comics given the net sales, gross profit and net income is  76.3%.

Gross profit margin is a profitability ratio. It is used to measure the financial health of a company and used to determine the efficiency with which the firm generates profits.

Gross profit margin = gross profit / net sales

3320 /3320 = 76.3%

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There is a 0.00108 probability of choosing 8 candidates the option b from given choices.

The discrete probability distribution known as the binomial distribution only offers Success or Failure as the only two possible outcomes for an experiment. In a binomial distribution, the two parameters n and p are employed. The variables "n" and "p" indicate how many times the experiment is conducted and the probability of each possible outcome, respectively. Let X be the interesting random variable; in this instance, we can suppose that it follows the following distribution: x- Binomial (n = 20; p = 0.74).

For the Binomial distribution, the probability mass function is given as

: p(x) = ( ⁿc ₋ₓ)ˣ (1 - p)ⁿ⁻ˣ.

where ( ⁿc ₋ₓ)ˣ refers to a combination. In this instance, we want this probability.

P ( x = 8 ) = (²⁰c₋₈) × (0.74)⁸ (1-0.74)²⁰⁻⁸ = 0.00108.

The probability of choosing 8 young adults is 0.00108.

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complete Question

according to a 2018 survey, 74 percent of employed young adults expect to bring work on a vacation trip. a random sample of 20 employed young adults will be selected. what is the probability that 8 of the selected young adults will expect to bring work on a vacation trip?

a) (²⁰c₈)(0.26)⁸(0.74)¹²⁻²⁰ choose 8, times 0.26 to the eighth power, times 0.74 to the twelfth power

b) (²⁰c₈)(0.74)⁸(1-0.74)²⁰⁻⁸ choose 8, times 0.74 to the eighth power, times 0.26 to the twelfth power

c) (¹²c₈)(0.26)⁸(0.74)¹²⁻¹² choose 8, times 0.26 to the eighth power, times 0.74 to the twelfth power

d) (¹²c₈)(0.74)⁸(0.26)¹²⁻¹² choose 8, times 0.74 to the eighth power, times 0.26 to the twelfth power (288)(0.26)8(0.74)12

Answer:

I think it's A (parallel)

Answer:

A. its parallel

Step-by-step explanation:

all angles are equal... two sides are perpendicular and two are parallel

Answer:

2.5 aka 5/2

Step-by-step explanation:

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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A residual plot alone does not provide a definitive answer about the appropriateness of the line of best fit. It should be used in conjunction with other diagnostic tools, such as examining the regression coefficients, goodness-of-fit measures (e.g., R-squared), and conducting hypothesis tests.

The residual plot is a graphical tool used to assess the appropriateness of the line of best fit or the regression model for the data. It helps to examine the distribution and patterns of the residuals, which are the differences between the observed data points and the predicted values from the regression model.

In a residual plot, the horizontal axis typically represents the independent variable or the predicted values, while the vertical axis represents the residuals. The residuals are plotted as points or dots, and their pattern can provide insights into the line of best fit.

To determine if the line of best fit is appropriate, you would generally look for the following characteristics in the residual plot:

Randomness: The residuals should appear randomly scattered around the horizontal axis. If there is a clear pattern or structure in the residuals, it suggests that the line of best fit is not capturing all the important information in the data.

Constant variance: The spread of the residuals should remain relatively constant across the range of predicted values. If the spread of the residuals systematically increases or decreases as the predicted values change, it indicates heteroscedasticity, which means the variability of the errors is not constant. This suggests that the line of best fit may not be appropriate for the data.

Zero mean: The residuals should have a mean value close to zero. If the residuals consistently deviate above or below zero, it suggests a systematic bias in the line of best fit.

It's important to note that a residual plot alone does not provide a definitive answer about the appropriateness of the line of best fit. It should be used in conjunction with other diagnostic tools, such as examining the regression coefficients, goodness-of-fit measures (e.g., R-squared), and conducting hypothesis tests.

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Answer:

210 cedis

Step-by-step explanation:

If ten bags of cocoa beans cost 350 cedis then you need to find the cost of one bag of cocoa beans

= 35 cedis

350 × 0.1 = 35

then multiply by 6 to get the cost of six bags

35 × 6 = 210

six bags of cocoa beans will cost 210 cedis.

Answer:

38.06 but if rounded up 38

Step-by-step explanation:

34,254 divided by 900 equals 38.06

Answer:

4 × (3 + 7) = (4 ×7) + (4 × 3)

Step-by-step explanation:

If you go by the order of PEMDAS you would do the parentheses first. 3 + 7 =10. 10 × 4 = 40. Then you would just use the distributive property and do (4× 7) + (4 × 3)

4 × 7 = 28 and 4 × 3 = 12 28 +12 =40

Answer:

tttttttttttttttttttttttttttttttttttttttttttttttt ty

Step-by-step explanation:

The diagonals are 17.4 inches

From the question, we have the following parameters that can be used in our computation:

DH = 10, HK = 8.2, KB = 6, HR = 8 and KY = 6.8

Given that DHB is a right triangle, we have

DB² = HB² + DH²

So, we have

DB² = (8.2 + 6)² + 10²

DB² = 301.64

Take the square root

DB = 17.4

The triangles DBY and RYB are congruent triangles

So, we have

RY = 17.4

The figure is an isosceles triangle, and the length does not meet the regulation

This is so because the length is less than the required 20 inches

The two non-parallel sides of an isosceles triangle are of equal length

So, we have

1/2x + 5 = 2x - 4

Evaluate the like terms

3/2x = 9

This gives

x = 9 * 2/3

x = 6

So, we have

KR = 1/2x + 5

This gives

KR = 1/2 * 6 + 5

KR = 8

So, the value of KR is 8 units

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P(X = 4, Y = 2) = 0.055131

P(X = Y) = 0.35607

From the information given:

X represent no of Canon SLR

The PMF is given as:

X   :    0         1        2           3        4

p(x) :  0.1       0.2   0.3     0.25   0.15

p = P(customers that purchase the camera & also purchase an extended warranty.

As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.

\(\frac{Y}{X}\) ~ Bin ( n= x , p =0.55) y

     = 0.1 ........ x and X = 0,1,2,3,4.

The condition probabilities Y given X is:

\(P (\frac{Y = 0}{X = 0} ) =1\)

\(P (\frac{Y = 0}{X = 1} ) = 0.45 and P (\frac{Y = 1}{X = 1} ) =0.55\)

\(P (\frac{Y = 0}{X = 2} ) = 0.2025 and P (\frac{Y = 1}{X = 2} ) =0.495, P (\frac{Y = 2}{X = 2} ) =0.3025\)

\(P (\frac{Y = 0}{X = 3} ) = 0.091125 and P (\frac{Y = 1}{X = 3} ) =0.334125, \\P (\frac{Y = 2}{X = 3} ) =0.408375 and P (\frac{Y = 3}{X = 3} ) = 0.166375\)

\(P (\frac{Y = 0}{X = 4} ) = 0.0.041006 and P (\frac{Y = 1}{X = 4} ) =0.0.200475, P (\frac{Y = 2}{X = 3} ) =0.367538\)

\(P (\frac{Y = 3}{X = 4} ) = 0.299475 and P (\frac{Y = 4}{X = 4} ) =0.091506\)

Now, the joint P.D (probability Dist.) of X & Y is expressed as:

\(P (\frac{Y = y}{X = x} ) = P (\frac{Y = y. X = x}{X = x} )\)

\(P( X = x , Y = y) = P(\frac{Y = y}{X =x} ) * P(X =x)\)

The Joint P.D is;

                      Y                                                                      Total

             0              1                    2             3          4

X     0     0.1            0                  0              0         0                  0.1

      1      0.09        0.11              0               0         0                 0.2

  2    0.06075  0.1485      0.09075          0         0                 0.3

  3    0.022781 0.083531 0.102094   0.041594  0                0.25

  4    0.006151  0.030071  0.055131  0.044921  0.013726    0.15

Total  0.279682 0.372103  0.247974  0.086515 0.013726       1

(a)

P(X=4,Y=2)

From the table above:

P(X=4,Y=2)

 = 0.055131

(b)

P(X= Y)

= (P = 0 , Y = 0) + P( X =1, Y =1) + P( X=2, Y=2) + P(X=3,Y=3) + P(X=4,Y=4)

= 0.1 + 0.11 + 0.09075 + 0.041594 + 0.013726

= 0.35607

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Answer:

B

Step-by-step explanation:

the area of the triangle is  18 square units